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Finding the Third Proportional to 23,684 and 36,334

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Solution

The third proportional to 23,684 and 36,334 is: 55,740.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,684 : 36,334 = 36,334 : x
  2. Step 2: Convert to fraction form
    23,684/36,334 = 36,334/x
  3. Step 3: Cross multiply
    23,684x = 36,334 × 36,334
  4. Step 4: Simplify right side
    23,684x = 1,320,159,556
  5. Step 5: Solve for x
    x = 1,320,159,556/23,684
  6. Step 6: Final answer
    x = 55,740.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.